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23001742152 = 23331719439751
BaseRepresentation
bin10101011011000000…
…101011101101001000
32012101000211120101000
4111123000223231020
5334101421222102
614322235055000
71443001403514
oct253300535510
965330746330
1023001742152
11983397a364
12455b2a1460
13222754c11c
141182c23144
158e955601c
hex55b02bb48

23001742152 has 256 divisors, whose sum is σ = 71470080000. Its totient is φ = 6811776000.

The previous prime is 23001742151. The next prime is 23001742163. The reversal of 23001742152 is 25124710032.

23001742152 is a `hidden beast` number, since 230 + 0 + 1 + 7 + 421 + 5 + 2 = 666.

It is a super-2 number, since 2×230017421522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23001742151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30627777 + ... + 30628527.

It is an arithmetic number, because the mean of its divisors is an integer number (279180000).

Almost surely, 223001742152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23001742152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35735040000).

23001742152 is an abundant number, since it is smaller than the sum of its proper divisors (48468337848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23001742152 is a wasteful number, since it uses less digits than its factorization.

23001742152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 23001742152 in words is "twenty-three billion, one million, seven hundred forty-two thousand, one hundred fifty-two".